Dynamic Behavior of Continuous Cantilevered Pipes Conveying Fluid Near Critical Velocities

[+] Author and Article Information
J. Rousselet

Ecole Polytechnique de Montreal, Montreal, Quebec H3C 3A7, Canada

G. Herrmann

Division of Applied Mechanics, Department of Mechanical Engineering, Stanford University, Stanford, Calif. 94305

J. Appl. Mech 48(4), 943-947 (Dec 01, 1981) (5 pages) doi:10.1115/1.3157760 History: Received July 01, 1980; Revised February 01, 1981; Online July 21, 2009


The plane motion of a cantilevered pipe conveying fluid is examined when the flow velocity is in the neighborhood of that generating flutter. In contrast to previous studies, the flow velocity is not prescribed as a constant, but is determined from the laws of motion. We are thus led to a system of two nonlinear partial differential equations which are coupled through the nonlinear terms. The solution is found by the use of the Krylov-Bogoliubov averaging method and the results are discussed indicating the effect of nonlinearities.

Copyright © 1981 by ASME
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